Statistics and Probability Grade 11 Quiz
16 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What type of random variable is 'the amount of salt in a salt solution'?

  • Ordinal
  • Discrete
  • Continuous (correct)
  • Nominal

Which of the following options indicates a discrete random variable?

  • Speed of a car
  • Amount of milk in a container
  • Number of consecutive tails obtained when tossing a coin (correct)
  • Time taken for a race

Which probability distribution shows valid probabilities for a discrete random variable?

  • P(1) = 0.20, P(2) = 0.30, P(3) = 0.40
  • P(X) = 1/10, 2/10, 4/10, 2/10, 1/10 (correct)
  • P(2) = 0.50, P(3) = 0.50
  • P(A) = 1/5, P(B) = 1/5, P(C) = 1/5, P(D) = 2/5

What is the classification for the data set P(5) = 0.11, P(10) = 0.37, P(11) = 0.52?

<p>P (B)</p> Signup and view all the answers

Which of the following represents a continuous random variable?

<p>Speed of a car (B)</p> Signup and view all the answers

In the context of random variables, which of the following is NOT a characteristic of a probability distribution?

<p>It can have negative probability values (A)</p> Signup and view all the answers

What does the variance of a random variable measure?

<p>The spread of the data points around the mean (D)</p> Signup and view all the answers

Which of these options correctly describes the mean of a given probability distribution?

<p>It is the sum of all possible outcomes multiplied by their probabilities. (C)</p> Signup and view all the answers

What is the mean of the random variable X?

<p>1.94 (A)</p> Signup and view all the answers

What is the variance of the random variable X?

<p>0.64 (D)</p> Signup and view all the answers

How many total outcomes are there in the sample space when drawing two balls without replacement?

<p>4 (A)</p> Signup and view all the answers

What is the probability of drawing exactly one blue ball when two balls are drawn?

<p>1/2 (D)</p> Signup and view all the answers

What does the random variable Y represent in this situation?

<p>Number of blue balls drawn (B)</p> Signup and view all the answers

What is the standard deviation of the random variable X?

<p>0.80 (A)</p> Signup and view all the answers

In the context of the histogram, which value corresponds to the probability of drawing no blue balls?

<p>1/4 (B)</p> Signup and view all the answers

Which of the following combinations corresponds to the outcome of drawing two blue balls?

<p>BB (D)</p> Signup and view all the answers

Flashcards

Discrete Random Variable

A random variable whose possible values are countable.

Continuous Random Variable

A random variable that can take on any value within a given range (uncountable).

Probability Distribution

A table or formula that shows all possible outcomes of a random variable and their probabilities. The sum of probabilities equals 1.

Mean of a Random Variable

The expected value of a random variable, calculated as the sum of each outcome multiplied by its probability.

Signup and view all the flashcards

Variance of a Random Variable

A measure of the spread or dispersion of a probability distribution, calculated by sum of squares of the differences.

Signup and view all the flashcards

Standard Deviation

The square root of the variance, representing the typical distance between data points and the mean.

Signup and view all the flashcards

Probability

A numerical measure of the likelihood of an event occurring, between 0 and 1.

Signup and view all the flashcards

Random Variable

A variable whose value is a numerical outcome of a random phenomenon.

Signup and view all the flashcards

Random Variable (Y)

A variable whose value is a numerical outcome of a random phenomenon.

Signup and view all the flashcards

Probability Mass Function

Specifies the probability of a discrete random variable taking on a particular value.

Signup and view all the flashcards

Mean (of a discrete random variable)

The expected value, calculated as the sum of each value multiplied by its probability.

Signup and view all the flashcards

Variance (of a discrete random variable)

Measures the spread of the distribution, calculated as the average squared deviation from the mean.

Signup and view all the flashcards

Sample Space

The set of all possible outcomes or results of an experiment.

Signup and view all the flashcards

Probability of an event

Represents the likelihood of a certain event occurring (measured as a fraction between 0 and 1).

Signup and view all the flashcards

Study Notes

Statistics and Probability Study Notes

  • Subject: Statistics and Probability
  • Year Level: Grade 11
  • Semester/Grading Period: 2nd Semester
  • Week/Session: Week 1-2

Topic: Computing the Mean, Variance & Standard Deviation of Random Variables

  • Problem Set 1: The problem set involves calculating the mean, variance, and standard deviation of random variables. Students must show their solutions, including given information, equations, calculation steps, and final conclusions.
  • Discrete vs. Continuous Variables: Test 1 asks students to identify whether a random variable is discrete (e.g., number of consecutive tails) or continuous (e.g., speed of a car).

Test I

  • Question: Determine if each variable is discrete (D) or continuous (C).
  • Examples:
    • Amount of salt in a solution (C)
    • Number of consecutive tails (D)
    • Number of spikes scored in a competition (D)
    • Speed of a car (C)
    • Number of students in a school (D)

Test II

  • Question: Finding probability distributions for various situations.
  • Example: A problem involves calculating probabilities based on data given in a table.

Test 3

  • Question: Calculating mean, variance and standard deviation for a given data
  • Data type example: Number of televisions in a household.
  • Example: The distribution of televisions per household. The mean, variance, and standard deviation for this distribution are to be computed.

Additional Information

  • Additional problems: Two ball examples (red and blue) to find probability distributions by constructing a sample space, identifying outcomes and assigning probabilities. Histogram to represent probability distribution.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

Answer Key 1_Mean, Variance and SD of Random Variables (1) (1) PDF

Description

This quiz focuses on computing the mean, variance, and standard deviation of random variables for Grade 11 Statistics and Probability students. It also includes a section for identifying discrete and continuous variables through various examples. Students will practice problem-solving and analytical skills crucial for mastering these concepts.

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser